Practice Definition - 18.X.1 | 18. Binomial Distribution | Mathematics - iii (Differential Calculus) - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the Binomial Distribution used for?

πŸ’‘ Hint: Think about the outcomes in trials.

Question 2

Easy

Define a Bernoulli Trial.

πŸ’‘ Hint: Consider a coin flip.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the Binomial Distribution model?

  • Probability of failure
  • Number of successes in trials
  • Expected value of random variable

πŸ’‘ Hint: What are we counting in such a distribution?

Question 2

Is variance of a binomial distribution dependent on the probability of success?

  • True
  • False

πŸ’‘ Hint: Consider the formula for variance.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A drug manufacturer claims that 95% of their products pass quality control. If a supermarket tests 10 products, what is the probability that at least 8 pass?

πŸ’‘ Hint: Remember to sum the probabilities for at least k successes.

Question 2

You conduct an experiment that involves rolling a die 12 times. What is the probability of rolling a five exactly 3 times?

πŸ’‘ Hint: Identify n, k, and p before applying the formula.

Challenge and get performance evaluation